TII subcells for the Sp(6,R) x SO(6,1) block of Sp6
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cell#0 , |C| = 1
special orbit = [6]
special rep = [[3], []] , dim = 1
cell rep = phi[[3],[]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[6,1] := {0}

cell#1 , |C| = 1
special orbit = [6]
special rep = [[3], []] , dim = 1
cell rep = phi[[3],[]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[6,1] := {0}

cell#2 , |C| = 5
special orbit = [4, 2]
special rep = [[2], [1]] , dim = 3
cell rep = phi[[2, 1],[]]+phi[[2],[1]]
TII depth = 1
TII multiplicity polynomial = X+2*X^2
TII subcells:
  tii[5,1] := {0, 1}
  tii[5,2] := {2, 3}
  tii[5,3] := {4}